1975712256 has 320 divisors, whose sum is σ = 7082760960. Its totient is φ = 530841600.

The previous prime is 1975712251. The next prime is 1975712269. The reversal of 1975712256 is 6522175791.

1975712256 is a `hidden beast` number, since 1 + 9 + 7 + 571 + 22 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (1975712251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1644456 + ... + 1645656.

It is an arithmetic number, because the mean of its divisors is an integer number (22133628).

Almost surely, 2^1975712256 is an apocalyptic number.

1975712256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1975712256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541380480).

1975712256 is an abundant number, since it is smaller than the sum of its proper divisors (5107048704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1975712256 is a wasteful number, since it uses less digits than its factorization.

1975712256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1230 counting only the distinct ones).

The product of its digits is 264600, while the sum is 45.

The square root of 1975712256 is about 44448.9848702982. The cubic root of 1975712256 is about 1254.8001578061.

The spelling of 1975712256 in words is "one billion, nine hundred seventy-five million, seven hundred twelve thousand, two hundred fifty-six".